Problem III - 20 points The MPA director reviewed last year's schedule, and the emails that had drifted into her mailbox over the last week. Naturally, every professor in the School had his own pet course and wanted to maintain control of it while avoiding 8 a.m. classes at all costs. In an effort to placate the senior faculty members of the department, the director sent an email asking them to supply the prep time for each of the classes they were qualified to teach, promising to assign them the least taxing schedule possible. Each professor had to teach at least two courses, but no more than three. Policy Analysis, Management Science, Financial Analysis, Accounting and Statistics each had to be offered once and the school needed to offer at least four sections of the Intro to Public Organizations class. The prep times each professor estimated for each course appear in the table below. 10 Intro Policy An. Mgt. Science Finance Accounting Stats Ruth 3 12 16 12 7 Felipe 4 19 2 10 8 18 Ricardo 5 11 4 14 14 3 Michelle 4 11 4. 15 17 15 How should the director assign the classes to keep her promise? Formulate a linear programming model and solve this